Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983mnras.204p..53b&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 204, Aug. 1983, p. 53P-58P. Research supported by the S
Astronomy and Astrophysics
Astronomy
10
Astronomical Models, Convolution Integrals, Galactic Structure, Point Spread Functions, Galactic Nuclei, Luminosity, Milky Way Galaxy, Star Distribution
Scientific paper
The two-dimensional convolution of a circularly symmetric galaxy model with a Gaussian point-spread function of dispersion σ reduces to a single integral. This is solved analytically for models with power-law intensity distributions and results are given which relate the apparent core radius to σ and the power-law index k. The convolution integral is also simplified for the case of a point-spread function corresponding to a circular aperture. Models of galactic nuclei with stellar density cusps can only be distinguished from alternatives with small core radii if both the brightness and seeing profiles are measured accurately. The results are applied to data on the light distribution at the Galactic Centre.
Bailey Mark E.
Sparks William B.
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